mirror of
https://github.com/Relintai/gdnative_cpp.git
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342 lines
11 KiB
C++
342 lines
11 KiB
C++
#ifndef PANDEMONIUM_MATH_H
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#define PANDEMONIUM_MATH_H
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/*************************************************************************/
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/* Math.h */
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/*************************************************************************/
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/* This file is part of: */
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/* PANDEMONIUM ENGINE */
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/* https://pandemoniumengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
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/* Copyright (c) 2014-2022 Pandemonium Engine contributors (cf. AUTHORS.md). */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/*************************************************************************/
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#include "defs.h"
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#include <float.h>
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#include <math.h>
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#include <cmath>
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class Math {
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public:
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// Functions reproduced as in Pandemonium's source code `math_funcs.h`.
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// Some are overloads to automatically support changing real_t into either double or float in the way Pandemonium does.
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static _ALWAYS_INLINE_ double fmod(double p_x, double p_y) {
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return ::fmod(p_x, p_y);
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}
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static _ALWAYS_INLINE_ float fmod(float p_x, float p_y) {
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return ::fmodf(p_x, p_y);
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}
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static _ALWAYS_INLINE_ double floor(double p_x) {
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return ::floor(p_x);
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}
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static _ALWAYS_INLINE_ float floor(float p_x) {
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return ::floorf(p_x);
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}
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static _ALWAYS_INLINE_ double exp(double p_x) {
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return ::exp(p_x);
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}
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static _ALWAYS_INLINE_ float exp(float p_x) {
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return ::expf(p_x);
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}
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static _ALWAYS_INLINE_ double sin(double p_x) {
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return ::sin(p_x);
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}
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static _ALWAYS_INLINE_ float sin(float p_x) {
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return ::sinf(p_x);
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}
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static _ALWAYS_INLINE_ double cos(double p_x) {
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return ::cos(p_x);
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}
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static _ALWAYS_INLINE_ float cos(float p_x) {
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return ::cosf(p_x);
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}
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static _ALWAYS_INLINE_ double tan(double p_x) {
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return ::tan(p_x);
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}
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static _ALWAYS_INLINE_ float tan(float p_x) {
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return ::tanf(p_x);
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}
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static _ALWAYS_INLINE_ double asin(double p_x) {
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return ::asin(p_x);
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}
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static _ALWAYS_INLINE_ float asin(float p_x) {
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return ::asinf(p_x);
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}
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static _ALWAYS_INLINE_ double acos(double p_x) {
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return ::acos(p_x);
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}
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static _ALWAYS_INLINE_ float acos(float p_x) {
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return ::acosf(p_x);
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}
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static _ALWAYS_INLINE_ double atan(double p_x) {
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return ::atan(p_x);
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}
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static _ALWAYS_INLINE_ float atan(float p_x) {
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return ::atanf(p_x);
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}
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static _ALWAYS_INLINE_ double atan2(double p_y, double p_x) {
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return ::atan2(p_y, p_x);
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}
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static _ALWAYS_INLINE_ float atan2(float p_y, float p_x) {
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return ::atan2f(p_y, p_x);
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}
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static _ALWAYS_INLINE_ double sqrt(double p_x) {
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return ::sqrt(p_x);
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}
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static _ALWAYS_INLINE_ float sqrt(float p_x) {
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return ::sqrtf(p_x);
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}
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static _ALWAYS_INLINE_ float lerp(float minv, float maxv, float t) {
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return minv + t * (maxv - minv);
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}
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static _ALWAYS_INLINE_ double lerp(double minv, double maxv, double t) {
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return minv + t * (maxv - minv);
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}
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static _ALWAYS_INLINE_ double lerp_angle(double p_from, double p_to, double p_weight) {
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double difference = fmod(p_to - p_from, Math_TAU);
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double distance = fmod(2.0 * difference, Math_TAU) - difference;
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return p_from + distance * p_weight;
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}
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static _ALWAYS_INLINE_ float lerp_angle(float p_from, float p_to, float p_weight) {
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float difference = fmod(p_to - p_from, (float)Math_TAU);
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float distance = fmod(2.0f * difference, (float)Math_TAU) - difference;
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return p_from + distance * p_weight;
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}
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template <typename T>
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static _ALWAYS_INLINE_ T clamp(T x, T minv, T maxv) {
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if (x < minv) {
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return minv;
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}
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if (x > maxv) {
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return maxv;
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}
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return x;
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}
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template <typename T>
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static _ALWAYS_INLINE_ T min(T a, T b) {
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return a < b ? a : b;
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}
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template <typename T>
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static _ALWAYS_INLINE_ T max(T a, T b) {
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return a > b ? a : b;
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}
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template <typename T>
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static _ALWAYS_INLINE_ T sign(T x) {
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return static_cast<T>(x < 0 ? -1 : 1);
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}
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static _ALWAYS_INLINE_ double deg2rad(double p_y) {
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return p_y * Math_PI / 180.0;
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}
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static _ALWAYS_INLINE_ float deg2rad(float p_y) {
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return p_y * static_cast<float>(Math_PI) / 180.f;
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}
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static _ALWAYS_INLINE_ double rad2deg(double p_y) {
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return p_y * 180.0 / Math_PI;
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}
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static _ALWAYS_INLINE_ float rad2deg(float p_y) {
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return p_y * 180.f / static_cast<float>(Math_PI);
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}
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static _ALWAYS_INLINE_ double inverse_lerp(double p_from, double p_to, double p_value) {
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return (p_value - p_from) / (p_to - p_from);
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}
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static _ALWAYS_INLINE_ float inverse_lerp(float p_from, float p_to, float p_value) {
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return (p_value - p_from) / (p_to - p_from);
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}
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static _ALWAYS_INLINE_ double range_lerp(double p_value, double p_istart, double p_istop, double p_ostart, double p_ostop) {
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return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value));
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}
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static _ALWAYS_INLINE_ float range_lerp(float p_value, float p_istart, float p_istop, float p_ostart, float p_ostop) {
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return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value));
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}
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static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b) {
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// Check for exact equality first, required to handle "infinity" values.
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if (a == b) {
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return true;
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}
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// Then check for approximate equality.
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real_t tolerance = CMP_EPSILON * ABS(a);
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if (tolerance < CMP_EPSILON) {
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tolerance = CMP_EPSILON;
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}
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return ABS(a - b) < tolerance;
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}
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static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b, real_t tolerance) {
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// Check for exact equality first, required to handle "infinity" values.
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if (a == b) {
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return true;
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}
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// Then check for approximate equality.
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return ABS(a - b) < tolerance;
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}
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static _ALWAYS_INLINE_ bool is_zero_approx(real_t s) {
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return ABS(s) < CMP_EPSILON;
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}
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static _ALWAYS_INLINE_ double smoothstep(double p_from, double p_to, double p_weight) {
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if (is_equal_approx(static_cast<real_t>(p_from), static_cast<real_t>(p_to))) {
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return p_from;
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}
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double x = clamp((p_weight - p_from) / (p_to - p_from), 0.0, 1.0);
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return x * x * (3.0 - 2.0 * x);
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}
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static _ALWAYS_INLINE_ float smoothstep(float p_from, float p_to, float p_weight) {
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if (is_equal_approx(p_from, p_to)) {
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return p_from;
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}
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float x = clamp((p_weight - p_from) / (p_to - p_from), 0.0f, 1.0f);
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return x * x * (3.0f - 2.0f * x);
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}
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static _ALWAYS_INLINE_ double move_toward(double p_from, double p_to, double p_delta) {
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return ABS(p_to - p_from) <= p_delta ? p_to : p_from + sign(p_to - p_from) * p_delta;
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}
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static _ALWAYS_INLINE_ float move_toward(float p_from, float p_to, float p_delta) {
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return ABS(p_to - p_from) <= p_delta ? p_to : p_from + sign(p_to - p_from) * p_delta;
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}
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static _ALWAYS_INLINE_ double linear2db(double p_linear) {
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return log(p_linear) * 8.6858896380650365530225783783321;
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}
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static _ALWAYS_INLINE_ float linear2db(float p_linear) {
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return log(p_linear) * 8.6858896380650365530225783783321f;
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}
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static _ALWAYS_INLINE_ double db2linear(double p_db) {
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return exp(p_db * 0.11512925464970228420089957273422);
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}
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static _ALWAYS_INLINE_ float db2linear(float p_db) {
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return exp(p_db * 0.11512925464970228420089957273422f);
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}
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static _ALWAYS_INLINE_ double round(double p_val) {
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return (p_val >= 0) ? floor(p_val + 0.5) : -floor(-p_val + 0.5);
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}
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static _ALWAYS_INLINE_ float round(float p_val) {
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return (p_val >= 0) ? floor(p_val + 0.5f) : -floor(-p_val + 0.5f);
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}
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static _ALWAYS_INLINE_ int64_t wrapi(int64_t value, int64_t min, int64_t max) {
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int64_t range = max - min;
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return range == 0 ? min : min + ((((value - min) % range) + range) % range);
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}
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static _ALWAYS_INLINE_ float wrapf(real_t value, real_t min, real_t max) {
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const real_t range = max - min;
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return is_zero_approx(range) ? min : value - (range * floor((value - min) / range));
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}
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static _ALWAYS_INLINE_ float stepify(float p_value, float p_step) {
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if (p_step != 0) {
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p_value = floor(p_value / p_step + 0.5f) * p_step;
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}
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return p_value;
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}
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static _ALWAYS_INLINE_ double stepify(double p_value, double p_step) {
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if (p_step != 0) {
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p_value = floor(p_value / p_step + 0.5) * p_step;
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}
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return p_value;
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}
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static _ALWAYS_INLINE_ unsigned int next_power_of_2(unsigned int x) {
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if (x == 0)
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return 0;
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--x;
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x |= x >> 1;
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x |= x >> 2;
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x |= x >> 4;
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x |= x >> 8;
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x |= x >> 16;
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return ++x;
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}
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static _ALWAYS_INLINE_ bool is_nan(double p_val) {
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#ifdef _MSC_VER
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return _isnan(p_val);
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#elif defined(__GNUC__) && __GNUC__ < 6
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union {
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uint64_t u;
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double f;
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} ieee754;
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ieee754.f = p_val;
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// (unsigned)(0x7ff0000000000001 >> 32) : 0x7ff00000
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return ((((unsigned)(ieee754.u >> 32) & 0x7fffffff) + ((unsigned)ieee754.u != 0)) > 0x7ff00000);
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#else
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return isnan(p_val);
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#endif
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}
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static _ALWAYS_INLINE_ bool is_nan(float p_val) {
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#ifdef _MSC_VER
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return _isnan(p_val);
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#elif defined(__GNUC__) && __GNUC__ < 6
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union {
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uint32_t u;
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float f;
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} ieee754;
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ieee754.f = p_val;
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// -----------------------------------
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// (single-precision floating-point)
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// NaN : s111 1111 1xxx xxxx xxxx xxxx xxxx xxxx
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// : (> 0x7f800000)
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// where,
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// s : sign
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// x : non-zero number
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// -----------------------------------
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return ((ieee754.u & 0x7fffffff) > 0x7f800000);
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#else
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return isnan(p_val);
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#endif
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}
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};
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#endif // PANDEMONIUM_MATH_H
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